The generator matrix 1 1 1 1 1 1 1 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 4 0 0 8 0 0 0 0 12 0 8 0 0 0 0 0 12 8 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+71x^2+184x^3+805x^4+2592x^5+6291x^6+45648x^7+6291x^8+2592x^9+805x^10+184x^11+71x^12+1x^14 The gray image is a code over GF(2) with n=56, k=16 and d=8. This code was found by Heurico 1.16 in 0.435 seconds.